Magnetization plateaus and jumps in a frustrated four-leg spin tube under a magnetic field

Albarracín, F. A. Gómez; Arlego, Marcelo José Fabián; Rosales, H. D.

doi:10.1103/physrevb.90.174403

Cited by 9 publications

(13 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Notice that in Fig. 5(a) the magnetization plateaus has been depicted versus h for isotropic case ∆ 0 = J 0 , J 1 = ∆ 1 , J d = ∆ d (dashed-blue curve) which shows quantitatively excellent agreement with numerical density matrix renormalization group results [32]. This result indicates that the RSRG is a good approach to study the critical behavior of FAFST in the thermodynamic limit.…”

Section: First Order Phase Transition: J1 = J Dsupporting

confidence: 72%

“…This has generated much recent interest, and there have been several theoretical attempts to look at the frustrated isotropic fourleg spin tube (FAFST) [11,28,[32][33][34]. In particular, it has been investigated using the density matrix renormalization group (DMRG) [32], exact diagonalization, series arXiv:1810.07473v2 [cond-mat.str-el] 10 Jun 2019 expansion [28], Schwinger bosons mean field theory, and quantum Monte-Carlo simulation [11]. Moreover, a study of the phases of the FAFST in the presence of a magnetic field has been done in a combined analysis using perturbative methods, variational approach and DMRG [32].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Geometrically frustrated anisotropic four-leg spin-1/2 nanotube

Jafari¹,

Mahdavifar²,

Akbari³

2019

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We develop a real space quantum renormalization group (QRG) to explore a frustrated anisotropic four-leg spin-1/2 nanotube in the thermodynamic limit. We obtain the phase diagram, fixed points, critical points, the scaling of coupling constants and magnetization curves. Our investigation points out that in the case of strong leg coupling the diagonal frustrating interaction is marginal under QRG transformations and does not affect the universality class of the model. Remarkably, the renormalization equations express that the spin nanotube prepared in the strong leg coupling case goes to the strong plaquette coupling limit (weakly interacting plaquettes). Subsequently, in the limit of weakly interacting plaquettes, the model is mapped onto a 1D spin-1/2 XXZ chain in a longitudinal magnetic field under QRG transformation. Furthermore, the effective Hamiltonian of the spin nanotube inspires both first and second order phase transitions accompanied by the fractional magnetization plateaus. Our results show that the anisotropy changes the magnetization curve and the phase transition points, significantly. Finally, we report the numerical exact diagonalization results to compare the ground state phase diagram with our analytical visions.

show abstract

Section: First Order Phase Transition: J1 = J Dsupporting

confidence: 72%

Section: Introductionmentioning

confidence: 99%

Geometrically frustrated anisotropic four-leg spin-1/2 nanotube

Jafari¹,

Mahdavifar²,

Akbari³

2019

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…From an immense reservoir of 1D quantum spin systems, the spin-1/2 Heisenberg tubes have recently attracted much attention [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. The term spin tube gen-erally refers to a n-leg (n ≥ 3) spin ladder with periodic boundary conditions along a rung (inter-chain) direction.…”

Section: Introductionmentioning

confidence: 99%

Spin frustration of a spin-1/2 Ising–Heisenberg three-leg tube as an indispensable ground for thermal entanglement

Strečka

Alécio

Lyra

et al. 2016

Journal of Magnetism and Magnetic Materials

View full text Add to dashboard Cite

The spin-1/2 Ising-Heisenberg three-leg tube composed of the Heisenberg spin triangles mutually coupled through the Ising inter-triangle interaction is exactly solved in a zero magnetic field. By making use of the local conservation for the total spin on each Heisenberg spin triangle the model can be rigorously mapped onto a classical composite spin-chain model, which is subsequently exactly treated through the transfer-matrix method. The ground-state phase diagram, correlation functions, concurrence, Bell function, entropy and specific heat are examined in detail. It is shown that the spin frustration represents an indispensable ground for a thermal entanglement, which is quantified with the help of concurrence. The specific heat displays diverse temperature dependences, which may include a sharp low-temperature peak mimicking a temperature-driven first-order phase transition. It is convincingly evidenced that this anomalous peak originates from massive thermal excitations from the doubly degenerate ground state towards an excited state with a high macroscopic degeneracy due to chiral degrees of freedom of the Heisenberg spin triangles.

show abstract

“…One is the magnetization plateau, which usually accompanies with the spin excitation gap and has been found in many systems, such as the frustrated spin systems [3,4], and quasi-periodic systems with nontrivial topological property [5,6]. The other is the magnetization jump, which exhibits discontinuity in the magnetization density.The magnetization jump was first proposed by Néel [7] in the system with the Ising-like anisotropic exchange interaction, and then also investigated in various of lattice spin systems in different dimensions [8][9][10][11][12][13][14][15][16][17][18][19]. Most of these model systems involve anisotropy or frustration.…”

mentioning

confidence: 99%

Magnetization jump in one dimensional J − Q 2 model with anisotropic exchange

Mao

Cheng

Chen

et al. 2017

Sci Rep

View full text Add to dashboard Cite

We investigate the adiabatic magnetization process of the one-dimensional J − Q 2 model with XXZ anisotropy g in an external magnetic field h by using density matrix renormalization group (DMRG) method. According to the characteristic of the magnetization curves, we draw a magnetization phase diagram consisting of four phases. For a fixed nonzero pair coupling Q, (i) when g < −1, the ground state is always ferromagnetic in spite of h; (ii) when g > −1 but still small, the whole magnetization curve is continuous and smooth; (iii) if further increasing g, there is a macroscopic magnetization jump from partially- to fully-polarized state; (iv) for a sufficiently large g, the magnetization jump is from non- to fully-polarized state. By examining the energy per magnon and the correlation function, we find that the origin of the magnetization jump is the condensation of magnons and the formation of magnetic domains. We also demonstrate that while the experienced states are Heisenberg-like without long-range order, all the jumped-over states have antiferromagnetic or Néel long-range orders, or their mixing.

show abstract

Magnetization plateaus and jumps in a frustrated four-leg spin tube under a magnetic field

Cited by 9 publications

References 26 publications

Geometrically frustrated anisotropic four-leg spin-1/2 nanotube

Geometrically frustrated anisotropic four-leg spin-1/2 nanotube

Spin frustration of a spin-1/2 Ising–Heisenberg three-leg tube as an indispensable ground for thermal entanglement

Magnetization jump in one dimensional J − Q 2 model with anisotropic exchange

Contact Info

Product

Resources

About